| 1. |
- Lagerberg, Adam, et al.
(författare)
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Gain Scheduling Design using Feedback Gain Bias Compensation
- 1995
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Ingår i: The 2nd Russian-Swedish Control Conference, St.\ Petersburg, Russia. - : Control Engineering Laboratory, Chalmers University of Technology, Gothenburg, Sweden.
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Rapport (övrigt vetenskapligt/konstnärligt)
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| 2. |
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| 3. |
- Hansbo, Peter F G, 1959, et al.
(författare)
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A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
- 1990
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - LAUSANNE : Elsevier BV. ; 84:2, s. 175-192
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Tidskriftsartikel (refereegranskat)abstract
- In this paper a streamline diffusion finite element method is introduced for the time-dependent incompressible Navier-Stokes equations in a bounded domnain in R^2 and R^3 in the case of high Reynolds number flow. An error estimate is proved and numerical results are given. The method is based on a mixed velocity-pressure formulation using the same finite element discretization of space-time for the velocity and the pressure spaces, which consists of piecewise linear functions, together with certain least-squares modifications of the Galerkin variational formulation giving added stability without sacrificing accuracy.
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| 4. |
- Johnson, Claes, et al.
(författare)
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On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws
- 1990
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Ingår i: Mathematics of Computation. - PROVIDENCE : American Mathematical Society (AMS). - 0025-5718 .- 1088-6842. ; 54:189, s. 107-129
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Tidskriftsartikel (refereegranskat)abstract
- We extend our previous analysis of streamline diffusion finite element methods for hyperbolic systems of conservation laws to include a shock-capturing term adding artificial viscosity depending on the local absolute value of the residual of the finite element solution and the meh size. With this term present, we prove a maximum norm bound for finite element solutionsof Burgers' equation an thus complete an earlier convergence proof for this equation. We further prove, using entropy variables, that a strong limit of finite element solutions is a weak solution of the system of conservation laws and satisfies the entropy inequality asociated with the entropy variables. Results of some numerical experiments for the time-dependent compressible Euler equations in two dimensions are also reported.
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| 5. |
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| 6. |
- Hansbo, Peter
(författare)
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Generalized Laplacian smoothing of unstructured grids
- 1995
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Ingår i: Communications in Numerical Methods in Engineering. - : Wiley. - 1069-8299 .- 1099-0887. ; 11, s. 455-464
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Tidskriftsartikel (refereegranskat)abstract
- In this note we point out the natural choice of smoothing by use of a metric tenser to maintain control of the local element stretch. The extension to grids on surfaces in 3D is straightforward. Numerical examples are given.
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| 7. |
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| 8. |
- Hansbo, Peter
(författare)
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Moving finite element methods by use of space-time elements : I. Scalar problems
- 1998
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Ingår i: Numerical Methods for Partial Differential Equations. - 0749-159X .- 1098-2426. ; 14:2, s. 251-262
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Tidskriftsartikel (refereegranskat)abstract
- This article deals with moving finite element methods by use of the time-discontinuous Galerkin formulation in combination with oriented space-time meshes. A principle for mesh orientation in space-time based on minimization of the residual, related to adaptive error control via an a posteriori error estimate, is presented. The relation to Miller's moving finite element method is discussed. The article deals with scalar problems: systems will be treated in a companion article.
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| 9. |
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| 10. |
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